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Finding the Third Proportional to 99,158 and 138,693

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Solution

The third proportional to 99,158 and 138,693 is: 193,990.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,158 : 138,693 = 138,693 : x
  2. Step 2: Convert to fraction form
    99,158/138,693 = 138,693/x
  3. Step 3: Cross multiply
    99,158x = 138,693 × 138,693
  4. Step 4: Simplify right side
    99,158x = 19,235,748,249
  5. Step 5: Solve for x
    x = 19,235,748,249/99,158
  6. Step 6: Final answer
    x = 193,990.89

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.